A study of biorthogonal multiple vector-valued wavelets

被引：2
|
作者：
Han, Jincang [1 ,2 ]
Cheng, Zhengxing [1 ]
Chen, Qingjiang [3 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
[2] Lanzhou Commercial Coll, Sch Informat, Lanzhou 730000, Peoples R China
[3] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 04期
关键词：
SPACE-TIME; CONSTRUCTION; SIGNAL;
D O I：
10.1016/j.chaos.2007.09.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of vector-valued multiresolution analysis is introduced and the concept of biorthogonal multiple vector-valued wavelets which are wavelets for vector fields, is introduced. It is proved that, like in the scalar and multiwavelet case, the existence of a pair of biorthogonal multiple vector-valued scaling functions guarantees the existence of a pair of biorthogonal multiple vector-valued wavelet functions. An algorithm for constructing a class of compactly supported biorthogonal multiple vector-valued wavelets is presented. Their properties are investigated by means of operator theory and algebra theory and time-frequency analysis method. Several biorthogonality formulas regarding these wavelet packets are obtained. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1574 / 1587
页数：14
相关论文
共 50 条
  • [31] A Novel Approach for Designing a Class of Orthogonal Vector-valued Wavelets
    Guo, Mingpu
    Lv, Baoxian
    IITAW: 2009 THIRD INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATIONS WORKSHOPS, 2009, : 157 - 160
  • [32] Design of a class of compactly supported orthogonal vector-valued wavelets
    Feng, Jin-Shun
    Hua, De-Lin
    2007 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1-4, PROCEEDINGS, 2007, : 1659 - 1664
  • [33] The Research of the Orthogonal Vector-valued Interpolating Scaling Functions and Wavelets
    Du, Shude
    Hua, Delin
    2010 ETP/IITA CONFERENCE ON TELECOMMUNICATION AND INFORMATION (TEIN 2010), 2010, : 5 - +
  • [34] Vector-valued wavelets with triangular support for method of moments applications
    Bandlow, WC
    Schneider, G
    Jacob, AE
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (10) : 3340 - 3346
  • [35] AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL VECTOR-VALUED WAVELETS WITH COMPACT SUPPORT
    Li, Zhi-Fei
    Ding, Li-Ping
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2, 2008, : 524 - 529
  • [36] Construction of a class of compactly supported orthogonal vector-valued wavelets
    Sun, Lei
    Cheng, Zhengxing
    CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 253 - 261
  • [37] RETRACTED: A Constructive Method of Biorthogonal Vector-valued Finitely Supported Wavelets and Dual Frames with multi-scale (Retracted Article)
    Dong, Yanfen
    Cai, Yuntao
    2011 INTERNATIONAL CONFERENCE ON ENERGY AND ENVIRONMENTAL SCIENCE-ICEES 2011, 2011, 11
  • [38] A Study of Orthogonal Vector-valued Binary Wavelets and Wavelet Packs with Integer Dilation Constant
    Duan, Zhixia
    Chen, Qingjiang
    ADVANCED RESEARCH ON INDUSTRY, INFORMATION SYSTEMS AND MATERIAL ENGINEERING, PTS 1-7, 2011, 204-210 : 1763 - +
  • [39] Remarks on Vector-valued BMOA and Vector-valued Multipliers
    Oscar Blasco
    Positivity, 2000, 4 : 339 - 356
  • [40] Remarks on vector-valued BMOA and vector-valued multipliers
    Blasco, O
    POSITIVITY, 2000, 4 (04) : 339 - 356
12345